Question

A spinner is divided into five sections, labeled A, B, C, D, and E. Devon spins the spinner 50 times and records the results in the table.

Based on the table above, make a prediction for 200 trials.

Answer 1

To make a prediction for 200 trials, we can look at the proportion of each section in the 50 trials and assume that the same proportion will hold for 200 trials.

In the 50 trials, we see that section A occurred 9 times out of 50, or 18% of the time. Similarly, section B occurred 10 times out of 50, or 20% of the time. Section C occurred 15 times out of 50, or 30% of the time. Section D occurred 8 times out of 50, or 16% of the time. Finally, section E occurred 8 times out of 50, or 16% of the time.

Assuming that the same proportion holds for 200 trials, we can predict the number of occurrences for each section as follows:

- A: 0.18 x 200 = 36 occurrences
- B: 0.20 x 200 = 40 occurrences
- C: 0.30 x 200 = 60 occurrences
- D: 0.16 x 200 = 32 occurrences
- E: 0.16 x 200 = 32 occurrences

Therefore, based on the table above, we can predict that in 200 trials, section C will occur the most frequently (60 times), followed by section B (40 times), section A (36 times), and sections D and E equally (32 times each). It's important to note that this is just a prediction based on the observed data, and the actual results may vary due to chance.

Answer 2

Prediction for 200 trials: A- 40 times, B- 56 times, C- 48 times, D- 32 times, E- 24 times

Explanation:

A=10/50=1/5 (then multiply by 200)

B=14/50=7/25 (then multiply by 200)

C=12/50=6/25 (then multiply by 200)

D=8/50=4/25 (then multiply by 200)

E=6/50=3/25 (then multiply by 200)